The OEM springs are the problem - dual rate, but the combo is poor, with the 'softer' part of the spring too soft & the harder rate too stiff.You'd really need alternative springs to sort it out to an acceptable level but that of course means money Adding oil & raising it's level within the forks changes the final third of travel, you could get some benefits there but it's masking the problem and you start increasing the chances of blowing fork seals
Use SAE20 fork oil and add a bit of preload, 1cm or so. Do not use gear oil, I have ridden a bike with that and it sucks. Fazers have almost no low speed compression damping. I have for sale a couple of very stiff springs but they will be too hard for your weight on the road, and 2002 preload adjusters and spacers for '98 bikes.
Yes try that first. On winter you will notice how dampened the fork will become, not good for big bumps though. On summer it will thin a lot: the higher the grade the more temperature sensitive it becomes. Having preload adjusters at max I'd go for stiffer springs but it will a pain as you said Serbian roads are bumpy? The solution would be mate kebab's emulators.
I used this one:http://www.motul.com/rs/en/products/89I ride in 25+ degrees celsious, mostly.
Weekend was nice.Now it's rain and under 20 C. Got soaked this morning, if it makes it easier on you.