Error in Training

I think there is no need for the pawn sacrifice in this training puzzle lichess.org/training/38310

I think you are right

I see this
1. Qd5+ Ke7 2. Qe5#

Unless I am missing something the pawn sack is a error.

Yeah, that's a pretty bad mistake. It seems there's an error with the engine analysis there (it probably stopped analyzing once it found one mating sequence instead of continuing to search for the quickest one).

en.lichess.org/training/40131
I believe this should be a mate in two.

en.lichess.org/training/57089
I think this is at least a mate in three.
Can I get my rating points back?

lichess.org/training/23622
no need to move rook to specified square

Agreed on that one as well.

I've done over 5,000 training exercises and have encountered about
10 with fatal errors. That's about 0.2% error rate. Pretty good for a free site with volunteer developers. However, it's good to fix those exercises with errors by bringing them to the attention of administrators.

lichess.org/training/14488
This is a mate in 2. I want my training points back!