Need Relationship consejos stat! >.<

so here's the story. I just started dating my bf he's cool and a real sweetheart...but i feel he's a bit clingy o needy. i mean we were on the phone and he was like 'What are tu doing?' 'chatting' 'with other guys?!?!?' 'no' 'dont lie' 'im not' then like a few minutos hace i was like 'hey babe im tired night' and i went to bed. Then he skypes me so i answer. 'hi baby what's up?' 'i thought tu were sleeping...and whats with half the corazón note?' (i had this note i put up a few months hace that read without tu im half a heart...forgot to update it) 'i was...' 'dont lie to me babe.' 'im not and the note was up months ago' so i go to change it...but for some reason skype put the old one back. 'Why'd tu put half a corazón up again?! are u unhappy with me?' 'no. i amor you' then he went to bed...but would tu say hes needy? and what should i do to stop him from actuación this way?