The link shows a fork, headset, stem combo.

Some things to think about:

Rake, old vs new. If there are large differences in the fork offset you may find that the handling of the bike is not to your liking or that there is lots of toe overlap, measure carefully.

Handlebar diameter. It's probable that your new stem won't fit your old bar.

Brake mounting. Your old caliper is nutted, the new fork will required recessed mounting.

Wheel size. The bike was probably originally equipped with 27" wheels, even if you currently have 700s in there. Going from a fork sized for 27" wheels with lots of fender clearance to a 700c fork with very sporty clearance will pretty seriously affect the geometry of the bike, probably adversely.

Looks. I think it will look goofy personally, but this last one is obviously a matter of preference.

If it were me I'd spend a modest amount of money upgrading almost every other part on the bike with quality used stuff before I'd concern myself with the fork. As it stands you're looking at buying the fork/hs/stem combo, plus a new handlebar and front brake to end up with a hi-ten bike with a steel seatpost, mattress saddle, odd ball cranks and a shiny new carbon fork.