Help with this sign???

[HoldingOnToYou 0]

So ive been learning asl through videos of songs interpreted because thats been the best way for me to remeber signs, but i recently saw a sign that i couldnt figure out what it meant. can yall please help? The timing the sign was done makes it seem like she was doing this sign for the word 'that' but it is not the sign I know for 'that'. 

im also having trouble finding the meaning for these two signs, the timing makes it seem like they mean 'would' and 'caught', but i cant confirm it.

 

Edited August 11 by HoldingOnToYou
further questions

[Lysandor 26]

The video in the middle is the sign for STUCK.

The last video has too many meanings without context.  It could meaning TEXT MESSAGING, it could mean TOGETHER as in a relationship.  Where did you see the signs?  That might help us get some context.

 

[Lisa DeGraaf 0]

The first video without context makes me think that she is saying either "bye-bye" or "hi" however with her facial expression I would guess she is being sarcastic, if she is saying hi or bye.