Sure no problem moving your volunteer tomatoes. Just take a big scoop of dirt with them and they won't even notice. When you replant them, bury them deeper than they were before and they will appreciate it.
Re the pepper being eaten alive, my guess would be slugs. They love my peppers and nothing else bothers the peppers. You will never see slugs in the daytime. Come out at night with a flashlight and look for them. Or put a board down on your soil and leave it for a couple days. Come back in the heat of the day and lift the board and they will likely be hiding under it.
Type slug control into the Search the Forum Keyword Box and find tons written here about them.