Need to repair this axle, can you help me find the right way?

Crank the nuts down, clean the oil off, and drive.

 

Somebody’s already had it apart, see where they hit it with a sledgehammer??

As others already mentioned, try tightening the nuts first, if it continues to seep then pull the axle and replace the gasket....

 

That’s what I was gonna say. Many times just needs tightened up and roll. Sometimes need replaced but snug em down first.

 

I always use silicone. Just a wispy paper thin coat on the hub, then install the axle and torque the nuts.

I've never had an axle leak or come loose with silicone, but I have with paper gaskets.

 

I always use an impact on them, never have pulled one out of the hub. I think you’ll break a stud before you pull it out of the aluminum. But just like anything else, don’t sit there and let it ugaduga for eternity and you’ll be just fine.

 

I don’t even impact my lugs on wheels back on I use torque wrench on everything. Only so much elasticity built in
To studs before stress cracks develop and
Clamping force is lost. We all do things differently

 

No Jack needed. Look in your original picture see that plug at about 12:00 in your pic

 

That's SFA. Just a sweat. I'd snug up the nuts a little and wipe it off.

 

Some will say just top off diff’s but I always refill the hubs when I do anything with axles out. That, after all is why a fill plug is installed in hubs. Keeps bearings from running low on oil possible damage
Until things get splashed around and oil makes it down axle tubes.
Have fun and all goes well