Need your advice

We are almost done replacing clutch and slave cylinder but wanted to ask you guys something
When opening the new slave cylinder we noticed it didn't came with tiny inner pipe seal, we were wondering why it wasn't sealing and was leaking. When taking it out we noticed in the inside that it didn't come with small pipe seal. We went ahead and swap out the pipe seal that was in the old slave cylinder and installed it on the new cylinder. We are going to bleed the car tomorrow.
My questions are:
1) Wasn't the slave cylinder suppose to come with this pipe seal?
2) Was it right to install the pipe seal from the old slave onto the new slave cylinder?
3) Is this something i should purchase new and can it be purchase separately from Mazda?
Please if someone can clarify this for me because i need to be sure before i take the car back on the road, i don't want to be stuck on the road because of clutch not engaging

 

I found out that mazda does have a part number for pipe line but can anybody of you confirm me my doubts specially if what i did was right or wrong. Thanks