Unknown plants from abroad, grown from seed

OK, I know it's wrong but I have no guilt. Whilst on holiday I look out for unusual and interesting plants. I take some seed and set myself the challenge to see if I can get them to grow. Then I cannot find them all in the reference books. Number 1 and 2 are the same plant. 3 is more difficult. When I took the seed from red berries I saw no flowers. I know this will be the worst to identify. Hope to get a reply.

 

#3 looks like a species of Asparagus.

 

I thought the same as Michael:
#3 looks like a species of Asparagus.

 

#1 & #2 Portulaca grandiflora

 

Thanks to all who have helped and provided answers. Appreciated.

 

I have a couple of others but there are no flowers as yet apart from this one. For the life of me now I cannot see what ever I did see in it as it seems very plain. I have tried to get as close as I can to take the picture and even in 'macro' this has made it less within focus. It is about 1/2" or less and has a prostrate habit.

 

Still a Portulaca, just a weedy form with tiny blossoms.
That's the one most seen in Florida. Looks like it may
also have Portulaca oleracea blood as they hybridize easily.

 

Thanks saltcedar. Helped tremendously.