Think you mean RCS, not CRS. RCS = Red Cherry Shrimp. CRS = Crystal Red Shrimp. It can get confusing when you're new-ish to shrimping.
But the shrimp you have are all Neocaridina and they'll interbreed. When that happens, they'll lose coloration and will inevitably revert to mottled, brown, wild-type Neos. As long as you're comfortable with that (I think you should be - more people should be!), they can be kept together. They all appear to be adults, likely imported by an unscrupulous wholesaler infamous for misinforming retailers and customers alike. Unfortunately, since they're adults, they're not going to have a long lifespan. Should have a long enough life to reproduce a few times, though.
One thing you could do since you're keeping them together is try to breed for dark brown/black (chocolate) coloration. They're really attractive shrimp and I think they're under appreciated in the hobby. You've got a lot of nice rock work in your tank and they'd look amazing flitting about. Just make sure you've got some hidey holes for them - moss, caves, something in the back of the tank (so it doesn't obstruct your view of the scape) that they can hide under.
You have more than enough hobby experience to be incredibly successful with shrimp. Glad to see you jumping in with them.
Tigers cross with other Caridina species regularly but I have never seen evidence of a Neocaridina cross - only claims of a cross. I'm guessing it's the same claim @Zoidburg
references. Those claims - I think - originated from someone who just a few months prior didn't know much about shrimp. If I remember correctly, there was a strong possibility the Tiger actually bred with a Babaulti - a Caridina species. I've kept Neos since the 90s and Tigers since 2004/2005 and have never had a cross occur.