Any way to fix the group tool?

Whenever I group some drawings or tokens together and then proceed to move them, the tokens will not all be together the way they were supposed to be. Tokens will always be a little closer together/further apart than before when I move them. What can I do to fix this issue?

There's definitely a bit of a trick to moving them. Take a look at this bit from the wiki and see if it helps: If you wish to move the group as a whole, click once to select the group and then click and drag. If you wish to move a single graphic independently of the group, click on it and drag it normally. The group will remain highlighted, but that token will move without moving any other members of the group. I personally would not advise rotating or scaling a group.

Also, hold alt when you move them to prevent the individual items from snapping to new positions when you let go.