K So I changed the timing belt today and have a couple questions Options

[xxgetbackupxx]

K so after I was done and started up the car the timing belt moved left (passenger side) from the center of both cogs. I freaked out thinking it was gonna fall off but held. It is off the sproket and cam just a little bit but holding on. Why is this happening? Even when I move it back a few times it keeps going to that spot. Also I don`t have the little metal piece in front of the timing belt cause the old one got damaged. kinda looks like my belt is vibrating a little, but the car runs fine no ruff idle nor misfiring or anything at all, runs like it always has. Maybe I`m overthinking it all? Advice would help thanks d=-)

[Syaoran]

The water pump isn't something you want to have "go" on you... it can pretty much cause damage to your engine if it stops working.

Lifetime warranty or not, you should replace it every other t-belt job (80k miles is a good interval if you're using a quality pump such as OEM or Aisin)

[xxgetbackupxx]

The water pump isn't something you want to have "go" on you... it can pretty much cause damage to your engine if it stops working.

Lifetime warranty or not, you should replace it every other t-belt job (80k miles is a good interval if you're using a quality pump such as OEM or Aisin)

It was replaced last timing belt change... now since it has a lifetime warranty... do i just take it back and get another next belt change?

[Special_Edy]

The water pump isn't something you want to have "go" on you... it can pretty much cause damage to your engine if it stops working.

Lifetime warranty or not, you should replace it every other t-belt job (80k miles is a good interval if you're using a quality pump such as OEM or Aisin)

It was replaced last timing belt change... now since it has a lifetime warranty... do i just take it back and get another next belt change?

Yes, warranty out the pump, tell them its bad and that you need to buy a timing belt since you had to remove the pump.
Water pumps dont fail catastrophically. Its basically a plate of cast aluminum with a bearing and a seal pressed into it. A shaft with an impeller on one end and a cam sprocket on the other end rides inside this bearing. Usually the bearing and or seal go out and start to leak. Coolant will leak out of the weep hole and the bearing can squeel really loud.
It can be inconvenient to change the water pump because its so difficult to remove/install the timing components on some engines like the 5S-FE, so its basically insurance vs calculated risk. I personally change out the water pump and timing belt together, but its borderline silly for someone to replace a perfectly good waterpump when they dont risk having to pay the +$500 bill for a shop to do it cause they can do it themselves.
Anyways, that what I think.