Does anyone (by any chance) happen to know what music Sarkoff is listening to in this episode?
One of the tunes is really catchy.

One of them is Tommy Steele's version of "Singing The Blues". I can't remember what the other is.

Summary Nit: The elections had been fixed & Sarkoff kicked out of office 7 seven years earlier. Also you mispelled Sarkoff in the last sentence.

So why didn't Cally wear an outfit that blended into the vegetation better?

Blake meets Cally & says that the prison is one of the strangest he's ever seen. Indicating that he has already been there. Then he & Cally head for the 'prison', setting off an alarm. Why didn't Blake set off a perimeter alarm when he first went to the 'prison' and/or when he came back to talk to Cally?

Despite the fact that their leader is on a dangerous mission & may request transport at any time, the Liberator decides to investigate an oddly acting ship. Ooooh, brilliant. (Later Avon even comments that they weren't very bight for that. I definately agree.)

When trying to raise the ship Gan says, "Liberator to space vessel." Excuse me? Doesn't the Federation know that Liberator is Blake's ship? Doesn't Gan, or anyone on the ship realized how dumb it is to broadcast your name because the Federation might intercept the signal? Wouldn't it be smarter to make up a name when dealing with an unknown ship? ("Enterprise to space craft." or "Lollipop to space craft.") Even if Zen says it's not a Federation craft that doesn't mean it can't be a Federation trick.

The name of the other vessel is said to be Star Queen. I wonder if that was a reference to Andre Norton's Solar Queen stories?

Two related dumbs things. When the guard comes around the house, Blake & Cally have scurried up to the roof, but Cally is sitting on the wall & Blake is standing there watching the guard. If the guard looked up he could have seen them and either yelled out and/or fired, both of which would attract the other guards.
Cally then jumps on top of the guard knocking him out. Now she's got to hide the body & hope no one misses him.
The smart thing to do would have been to crouch down on the roof and hide from the guards.

Gee, another 20th century expert. Ex-President Sarkoff meet Tom Paris. I think the two of you have a lot in common.

Sarkoff says that Cally's people did not originate on Earth and Cally agrees. I believe this is contradicted in the 3rd season episode Children Of Auron.

Well, at least they managed to get "a lot of information" with the cypher machine they stole in Seek-Locate-Destroy before the Federation changed the codes.

So who operated the teleport to get Blake, Cally, Sarkoff & Tyce aboard? Did Jenna, or one of the Amoagons, do it then run out of the room quickly? Did Zen do it? Never answered.

On the planet Tyce was wearing a red outfit with her hair tied up. After being captured by Amagons her hair is down, and she is wearing a black outfit. When did she have time to change & redo her hair, or what did she do to necesitate changing her clothes & recombing her hair?

So the Amagons are all dressed like Arabs? Was this episode ever shown in Arabic countries?

So the 13 million credit bounty for Blake, his crew & the Liberator, is reduced to 12 million if Jenna is not part of the deal? So is that 1 million credits per person & 7 million for Liberator, or does each of the crew bring in a different amount?
(5 million for Liberator, 4 million for Blake, a million each for Avon, Jenna & Cally, 750,000 for Gan, and 250,000 for Vila, perhaps?;-)

Jenna says, "The Amagon is dead.", but she knows his name, heck, it's implied she even had sex with the guy years earlier.

Just before beaming Sarkoff & Tyce down to the planet, we see Liberator come to a dead stop in space, in front of the planet.

Argh.. Thanks for noting that... I must have been thinking of a mad professor from a certain other BBC sci-fi series...

The BBC is doing a Flash Gordon series? (Dr. Zarkov was a scientist, possibly mad, who helped Flash.)

No.. I was thinking of Prefessor Zaroff from the well-appreciated Dr. Who episode 'The Underwater Menace'. Than again, the less said said about that particular story the better :)

Cally could have been expecting to land on a planet with leopards on it.
The other song played is Blow The Wind southerly, I don't know who sang it but it seems to be on the b-side of Singing The Blues, as Sarkoff picks the disc of the top of the pile & both have a light blue label (A rare mispress?). The label seems to change to black when Blake smashes it. The car is a 1920's bull nosed Morris. The Amagon's neck coller triggers are selective as none of the crews blow up when the guard fires & Blake's one has a time delay just long enough to throw it at the guard.

The screen seems to still be recovering from Breakdown because it only shows white dots instead of the normal symbols. I guess Zen is following Tarvin's commands because Zen found out about him from Jenna's mind scan in Cygnus Alpha

Or maybe Jenna ordered Zen to follow his commands, whilst she was still alive and on the ship.

I liked Villa's snipe back at Avon after Blake's told them both to calm down.