Mym

Hope it was clear =) English is only my second language.
Conclusion : I don't personally think that this is an infection, I'd say "just wait and see" and let your skin breath ^^. But as I say, I'm no doctor ^^. 

@Makmak: Your t shirt might have stuck to it because of the lymph. I never have lymph two days after a tattoo because I leave the plastic film during one full night, so everything (the ink surplus and the lymph) goes out faster. And you might have put too much cream on it.
When people have difficulties to remove the plastic film or their clothes because they stuck to the tattoo, we advice to remove them under a lukewarm shower.
It's normal to feel like you pulled the skin off. It's the "peeling" (I can't find another word in English. In France we call that "desquamation"). It's totally normal. You can have that on the entire surface of the tattoo.
Usually, your tattoo must be intact under. If it's not and if you have some "holes", you might need some touch-ups. It doesn't meen that it's your fault. The tattooer can have tattooed too close from the surface of the skin, making all the ink go away during the peeling phase.
Just put a thin layer of cream on your tattoo, otherwise you are going to smother/stiffle it. Your skin needs to breath. If your skin remains dry, put some cream more frequently, but always a thin layer.
Many people heal without putting any cream. The skin gets dry, but there isn't a big risk to ruin the tattoo, as soon as you don't pull out the skin off during the peeling phase. Cream is only for people's comfort.
Red skin, heat and pain are the symptoms of an infection. If you have a doubt, ask a doctor.