If 7000 lbs is the absolute strength of your "hooks", then absolutely. They may work OK in pulls that are relatively light, but you will eventually exceed their strength and they'll break -- with dangerous results.
If the "hooks" are rated at 7000 lbs as a working load limit (WLL), then they are OK for winching. Why is that???
WLL is defined by vertical lift strength. For such uses, hardware and rigging needs to be 4 times the actual maximum load. This is so there is a large margin of safety when lifting things overhead.
Winching involves pulls that are horizontal, so there is no need for the safety margin, although you still want gear strong enough to deal safely with the loads you anticipate moving.
So if the "hooks" are rated by WLL, then 4 times 7000 lbs is 28,000 lbs, which is far more than the winch's capacity. No need to buy new "hooks". Use them safely.
If the recovery hooks on the bumper are the factory Toyota units I'd say they are probably fine, but a 10,000 pound rated recovery point (i.e. a "D" ring shackle mount) mounted to the bumper/frame would be better.
What model of Land Cruiser do you have? Photos of the front bumper??
Your tow hooks have nothing to do with the winch unless your snatching the line in which case the load on the hook would only be 5000lbs
I installed tow hooks off a 04 1 tonne dodge they are by far stronger units . How ever the originals are still there and i have never broken or bent one
Gotta differ on this, if a winch has a single line rating of 10,000 lbs, and you do a simple single pulley pull, with the bitter end returning to the vehicle (ie. the tow hook), you will be capable of generating 10,000 lbs in the line (giving 2x or 20,000lbs pull between the vehicle and the remote anchoring point), that includes the return line, and it's attachment point (tow hook).
2 parrallel legs, twice the pull force, 1/2 the speed.
