The symbol on the surge protector beside the unlit indicator is the schematic symbol for an Earth ground.
Being that it has that symbol and "OK", I would assume that the indicator being unlit means that you have no ground on this outlet. If you have the model number (probably on a sticker somewhere on the back/bottom side) of the surge protector, you should be able to look up the manual online on APC's website to be foolproof sure of what it means.
From the sounds of things, you probably have bad wiring everywhere, which is unfortunately beyond the scope of what we can help you with beyond "Get it fixed". It's also possible that your breaker(s) or plug(s) may just be worn out or defective, which would be a much simpler fix. There's other possibilities like your branch circuits being undersized for the amount of current you're trying to draw (like the breaker tripping right away)... or it could be miswired... one could spend all day speculating, really. Others may have some better troubleshooting steps you could take at this point.
Qualified electricians are well paid, in north america at least. Their hourly chargeout rate can be well upwards of $90/hour for emergency work for an experienced Journeyman electrician. You would likely be getting an estimate on the total cost, rather than an hourly charge though, depending on how bad the electrician thinks the job will be but I really can't say, especially when I have no clue of the economics of the skilled trades in your country (or how and to what standards they are certified). Whatever you do, make sure to get an idea of the cost (and if such is an issue in your area, be sure he's qualified) before you let someone start working.
At the least, if you can identify where the problem is (breaker, missing ground, miswired or defective socket, etc) you may be able to cut down on the cost of time the electrician spends troubleshooting (however a good electrician will always check to be sure your conclusions are correct rather than just taking your word for it and starting work)