Thanks for the heads up sir or maam. Will do some research.It is a ghost shrimp - they are very common and probably the cheapest shrimp you can buy at the store.
Keeping a shrimp with any large fish is dangerous as they can nip at the shrimp, but if you have a lot of plants the shrimp will usually just hide and you will never see it.
If the eggs were left with the molt that means the shrimp was uncomfortable and decided to abandon them most likely due to the stresses of being moved. The shrimp itself should be okay.