I would not put 2 wk olds in with 10 wk olds, you will end up with a bunch of dead or injured 2 wk olds. IMO that is way too much of an age gap to just dump them all together and let them work it out. The 10 wk olds (especially the males) will already be territorial of their coop and run space, so the younger keets will be considered intruders/outsiders and get picked on. Possibly to the point of being killed. Plus the 2 wk olds should be on high protein medicated starter feed for 4 more weeks and the older keets should be on a grower feed at this point. One more important thing to consider is that the 2 wk olds are not fully feathered until they are 6 wks old and will need a heat source at night until then. I never even attempt to put younger keets in with other older aged keets until the youngest batch is 6 wks old. It's not worth the risk to the younger ones to me.
When integrating, ideally the different ages really should be housed side by side but separated for at least a few wks so they can all get used to each other and until there is no aggression thru the wire, be it in a sectioned off area in the coop and pen, or a cage/crate within the coop (for the younger batch). Point being they need to be able to see each other and get used to each other first, before integrating. If you do not have a decent sized cage/crate or sectioned off area to put the 2 wk olds out in the coop and pen for the next couple of weeks so the 2 ages can all gradually get used to each other, then I'd keep the 2 wk olds in their brooder until the 10 week olds are old enough to free range and then the younger birds can have free run of the coop and pen all day while the older birds are out, and then the younger birds will need to be gathered up and returned to the safety of a cage or brooder each night when the older birds come in.
When I integrate my 6 wk olds after a few weeks of being side by side, I will usually rearrange the entire coop and pen so that the older bunch is thrown off/distracted by all the new changes and not be so prone to focusing on picking on the new batch.