Can a lawyer in Maryland suit me back when I'm appealing of my case?

Answer 1

Yes.

Answer 2

Can they file a counter suit? Absolutely.

Answer 3

Do you mean, "bring a counter suit"?
Sure, if the opposing party has grounds for one.
this is what lawyers call "job security".

Answer 4

>> ... suit me back ...
Do you mean, like bring back the suit he borrowed?