Is this controlling behaviour? ?

Really? She TOLD you to do things and you did them? She is a control freak and you sound like you're pretty weak. Maybe grow a pair.

Doesn't sound like love's enough does it. She wears the pants in your relationship. You only kissed an ex and got a tattoo? That was foolish of you. Naturally, your present g/f doesn't like you having a tattoo of an ex on your body. You meekly had it removed at great cost. (actually not a bad thing). Next thing, this g/f will want you to have a tattoo of her (so that your next g/f can make you have that removed too.) Be your own person. She didn't 'make' you do anything. She moaned a lot until you did as you were told for a quiet life. She's needy and clingy and you enable her. Think what YOU want out of this relationship and if you aren't getting it, dump the relationship.

Yes she is controlling and it will get worse not better. RUN.

Are you a guy or a girl? I guess it doesn't matter, but you know, hope the sex is worth it. 

99% of people (male or female) would be bothered by a tattoo of an ex

The rest? 100% controlling, yes.

She cannot keep you caged, as she would like. She either trusts you, or she doesnt. 

As she doesnt, why bother?

Her jealousy will drive you away. Try talking to her about trust because if she's going to be like that, she's going to have trouble keeping a boyfriend. 

If she continues to be controlling like that and ruining your social life with other people, then you should leave her

Of course that is controlling behavior. You can leave or stay, that is up to you. But, you need to stop allowing her to control you like that.