So what is the step i need to do first?
Do I need first to open it up for an inspection?
Yes, always open up an amp your going to work on 1st.
Do I need to build a current limiter?
Yes, I would just use a current limiter by it self for 1st start up. If a power supply filter cap shorts out, the limiter should/will protect the amp. Just keep you finger by the amps power switch just in case. If the bulb lights up bright and stays bright, or you see/smell smoke, see sparks, turn the amp off.
After you make the limiter, test it with a known working tube amp to see how the bulb lights up and how long it takes, a few seconds, to go back down dim.
Do I need Variac?
I would say no, not for this.
Guys use a variac to start up old amp that have been sitting for a long time to reform the filter caps slowly. They bring up the acv slowly, over a day or more. But this is usually for old stereo amps that you cant get the caps for anymore. They used some pretty big caps in a lot of those old stereo's. If they can save the caps, then they don't have to try to make something fit in the space in the chassis where the old caps are.
You don't have this problem.
Do I need a both in series?
You could, it won't hurt, but I wouldn't feel the need to use both on that amp. And if I did use a variac with the limiter, I wouldn't use it to reform the caps over many hours. I'd just slowly bring up the acv wall voltage over a minute or so.
The light bulb limiter does slow down the in rush dcv to the caps to help protect them from giving up the ghost. The variac will slow it down some more.
Pull the chassis, open the dog house, cap cover on the back of the amp, and look for caps leaking goo. A little, they probably won't blow. If their really bad, then they might. But I still think the limiter will save the amp. If you have the right size bulb in it. For a Fender Twin with 4x6L6's, you want a 100w bulb, not larger.