Terminate short CAT5 uplinks?

My employer is moving to a new building and i'm in charge of creating/moving the IT infrastructure. There are 3 floors with a patch closet on each floor, then CAT5 uplinks down to the server room on the first floor. The uplinks are run down the wall and are coming into the server room through the floor.

The previous owners decided to cut the CAT5 uplinks in the server room and now they are too short to reach the patch panel in my rack. I figure i have 3 options here and I was wondering what you all thought would be the best solution.

1. Terminate the CAT5 in the floor, then run a patch cable to the patch panel
2. Terminate the CAT5 in the floor, then run a patch cable directly to the switch (skip the patch panel)
3. Run a new uplink.

Any suggestions would be helpful. Thanks!

In order of preference:

1. Run new Cat6 uplinks - preferably with shielded cable, terminating them at a patch panel.
2. Run new Cat6 uplinks - preferably with shielded cable, terminating them directly on the switch.
3. Terminate the existing Cat5 in the floor and run patch cables to your patch panel.
4. Terminate the existing cat5 in the floor and run patch cables directly to the switch.

Re-using the existing cable may be a great way to save time, but depending on the quality of the cabling work done before (and how much damage the cable suffered when it was cut) you may just be setting yourself up for more problems down the line.

In my opinion since you are building out a new infrastructure (in a building you may be in for a while) your budget should allow you to Do It Right (with Cat6 cabling, cat6 patch panels, etc.) to give you as much of a future-proof installation as possible. Along the same lines, if you pull new cat6 cables you may also want to pull fiber-optic cabling with it to allow for future expansion.
Consider how much traffic you may have moving between floors eventually and size your uplinks (physical cable/capacity and switching capacity) generously above that (I'm sure others will chime in with rules of thumb, but I try for at least 2x what I'll need today, in the hope that it will last until tomorrow...).

I'd probably go with #3. It's the most annoying, and expensive, but the least likely to come back and bite you in the ass.

I'd probably also write a rude letter to the previous owners, telling them that they did a very stupid thing.

I'm going to go with option 3, there's nothing that helps me sleep better than knowing, not suspecting, that my cabling is good. But before you do that I'm slightly worried about your overall cable lengths, what is your longest run with the setup you're suggesting?