Really struggled to pick up blocks and assumed the hitbox was just acting weird, but nevertheless I did complete the whole game and the puzzles were actually quite nice to go through! I found myself on a couple levels picturing out how to complete it with what i was given and liked the different tiles like the move and swap.
I think for the controls issue either change it to simply be click to rotate and drag to move, removing the holding which i learned from the comments. (After learning how it worked i did go back in and it felt a lot easier to control) Or perhaps the hand icon on the first levels more clearly holding down for a time before moving as it looks like a simple drag.
But overall I had fun with the puzzles! :)