It can be rejected if the tattoos are not, as stated above, hidden by uniform. Forearms is generally OK, upper arms, chest and back likewise, so long as the images/ text could not be seen as offensive by anybody. I was talking to a young guy a few weeks back who is desperate to join up, but has had a script tattoo on the side of his neck above the collar line, and was refused.
Your wrist should be OK in my opinion, so long as it is not a particularly garish design.
If you get 'Army Be The Best' tatooed on your forehead your entry will be guranteed!
Go on it's the ally thing to do at the moment, most of us in the infantry have it done, you just never see the tat's because they are always covered by our beret's or helmets!
as long as you can't see the tattoos in uniform its fine. i had an instructor at donnignton who had a tattoo on the underneath of her wrist and she was an instructor so it's allowed, she just usually wore a watch that kind of covered it but if it's not offensive its fine. i've got a few but you can't see them so no-one bothers.
You should be fine with those tattoos, shouldn't be any problems. Don't try to use instructors with more ovious tatts as an example though, they will have gotten their tattoos whilst serving- a lad in my old troop had both sleeves right to the wrist, full back, full chest, and neck tattooed once he was in- he never would've gotten past the ACIO if he had them when he applied.