On the issue of the last episode and the exposure of baby Yoda:
The Mandalorian didn't expect his ship to be used -- he thought he could lock it and BY would be safe. That came at him cold, and he argued against it without trying to tip his hand (even saying the ship couldn't do the maneuver required). It was pretty clear pretty quickly that he had one way through and that was forward. He then tried to keep the others from seeing BY, going so far as to start a fight. Didn't work because writers.
On the twi'leks:
Yes, they were a bit over the top, but they had to be because they were new characters. Watch it a second time, though, and you'll see that a lot of the female Twi'lek's behavior was to put Mando off and hide the fact that a planned betrayal was coming. She was the distraction.