Help me grow veg

Hi there I'm new to growing veg- have just got a new garden and a greenhouse I have grown toms and chillis before but never veg out side I have a south facing garden and unsure what to grow and where .
I have started off some peas and runner beans and constructed something for them to grow up see pics are they adequate?.

Have got a raised bed about 10ft by 2ft and 2ft deep see pics it gets full sun till about 4pm was thinking of doing beetroot ? Any other suggestions would be much appreciated? Many thanks

 

We have a south facing garden with raised beds. We grow onions, beetroot and leeks in them. Down one end we also grow lettuce and radishes.

 

Thanks for that can anyone also advise me in my raised bed first pic the whole of the wall was covered in ivy and I have taken it off as you can see then I have dug the bed up there was millions of roots but the soil/compost seemed ok have passed it through a soil sieve to remove dead roots could I mix the left over soil from the bed with compost and reuse ?