And no Mr. Stark, preteen Spider-Man would give Captain America that work!
Yea i said it!
idk man, Spidey has the fighting skills of first movie rocky balboa
all heart, no skill
Spoiler (click to reveal)
Shocker gave him the business
Sneak attack! Inadmissible evidence!
Spoiler (click to reveal)
Plus Cap aint punchin school buses around like that lol
Spidey's damage intake is crazy yo. Cap would have to get in close and perform some brazilian jujitsu to choke him out or something
Or some convenient environment where there's somethin he can drop atop of him like the air plane scene in civil war. otherwise Spidey gon get rid of that shield sooner or later... or he gon web swing that shield and cap along with it

Yep. Spidey will more likely than not catch that shield at some point...but that probably won't help him too much.
Cap's mastery of nerve strikes allows him to either completely mop Spidey with one attack or at least numb him and remove the use of important limbs for awhile with a single flow of attack which are essentially multiple attacks merged into one attack.
Here's a pic of him landing a nerve strike on Spidey. In the narrative, Spidey specifies that it's a nerve strike and his whole side goes numb.

Nerve pinches and/or strikes are something that T'Challa has long done and surpassed. In fact? In THE CLIENT, Priest had T'Challa utilize nerve strikes against Hunter.
http://imgur.com/GGEBsAOHe nerve shots Karnak, too. Even though it's not specified in the narrative, the LOCATION of the knee that T'Challa gives Karnak is to a well known nerve cluster at the tip of the nose that causes the eyes to close and water, shock to the respiratory system and wave shock to the central nervous system sufficient enough to temporarily cause unconsciousness and dropping to one's knees.

He also uses his knowledge of sinew, bone and nerves to help him sense and decipher when The Super Skrull is no longer using Luke Cage's steel hard skin to protect him, thus making him vulnerable to the horrific joint breaks and maiming damage that T'Challa employs.

And let's not forget that T'Challa has enough power to stagger The Hulk with a single blow...
...
http://imgur.com/FTMMP6zSoooo. Yeah. Cap can and 8 out of 10 times WOULD beat Spidey in a throwdown. And T'Challa wins 10 out of 10 times. Or at least 9.5 of ten.