6month old still not sleeping through

[Mel2011]

Hi should my 6month old be sleeping through the night yet he's not a good sleeper of a day he has 2/3 naps last 20/30 minutes. When I'm trying to get him to sleep he cries arches his back after around half-hour I eventually get him to sleep then before I no it he's awake again. He's on solids now and still drinking milk so he's full when he goes to bed around 8pm but wakes every 2/3 hrs. Anyone had the same problem can u let me no please thanks xx

[Mel2011]

Hiya hun our easy is usually

6:30 Up
7:30 Breakfast
8:30 nap usually lasting round 30mins
11:00 Bottle
11-1:00 play/go out another nap 30 mins
1:30 Dinner
3.30 nap 30mins
5.30 tea
6:30 bath
7:30 bottle
8pm bed

He Dusent have a dummy he had one till he was a month old since then he won't take it. I do rock him to sleep which in trying to get out of if I put him in his cot awake he screams and screams making himself sick so I get him out in the end then he falls asleep in my arms then I transfer him to the crib xx