S13s came in three body styles: Coupe, hatchback, and convertible. The coupes are slightly lighter and stiffer than the hatchback. The convertibles only came with slushboxes and are heavy and floppy. 89-90 S13s came with the SOHC KA24E and the so-called "pignose" front bumper. If you are interested in a SR20 swap, you will need to rearrange a few parts for it to fit:
This is a 91-93 model, which came with the DOHC KA24DE. SR20 swaps are practically drop-in with these:

240SX SE hatchback models came with a VLSD (probably shot by now) and Super HICAS, a passive rear-steer system. If my FC RX-7 with a similar system is anything to go by, the rear-steer can make cornering on the limit somewhat unpredictable. There are bushings available to deactivate the HICAS system. The stock 4-lug hubs and brakes are easily upgraded with 5-lug Z32 300ZX bits. Watch out for rust, ricer/dorifto mods, and the so-called "drift tax," which makes S13's more expensive than they should be.
My forged wheels reduce unsprung weight/I don't know what's heavier, your rims or your date