Can I apply for a single entry tourist visa in Laos and what are the entry requirements for my child?

Hi Everyone, i have been told one of the best places to get a 1 entry tourist visa is in Laos, i am currently on a multi entry visa that will end on 23rd September which is the final extension date, i will holiday in Laos for about 2 weeks then apply for a 1 entry visa which would take me until after new year when i need to go back to the UK, do you think i will have any problems with getting this visa?.

Also i would like to take my girlfriend and child (both Thai) my girlfriend has a passport so no problem there, but the 6 year old kid has no passport or ID card, just the ID they receive when they are born, what are the requirements for a 6 year old child to get into Laos?

Any help as always much appreciated, thank you in advance as always.