that front end isn't lowered. if it were, there'd be a large chunk of fork tube sticking out of the top of the upper triple.
besides, if the front were lowered and the rear raised and you were riding it, you'd have probably headshaked your ass right off the bike by now on anywhere near a decent speed corner exit. your rake/trail would have been so steep it'd have been scary as hell to ride.
as far as fork spring swaps, just pull the fork caps off (with the front wheel off the ground and no weight on the forks) and remove the springs/spacers, and drop in the new ones. there may be (probably is) a fork drain screw on the fork lower, near the axle. you can drain the fork oil that way, and refill to spec with better oil. (probably a good idea, OEM oil is like freakin water) UNLESS your SV has cartridge forks (not sure, but probably not), then you have to do much more disassembly to swap springs. special tools required on a cartridge fork, so if you're not comfortable with that, take it to a shop.
what year is your sv? the carbed ones i know for a fact are damper rod forks (non-cartridge) not sure about the later FI bikes, but i don't believe so. i did a spring swap on chino's SV a while back, and i don't recall having to take apart a cartridge to do it.
btw, that little adjuster sticking out of the top of the fork is for preload, which you have hardly any. adjusting that in a few turns might help you out. stock sv forks suck. i have a gsxr (inverted) front end in my living room that'd go right in