I have done plenty of welding with 6013, and also done plenty with 1/16 rod and a 70 amp buzx box. It can be done. Repetition is the best practice. Do enough welds on test pieces that you test to destruction to know what a good weld looks like. And to find out the limits of your welder. The largest piece you can weld with one pass or what ever.
The best measure of weld quality is when the base metal breaks before the weld does. When you twist it apart, if the weld takes a chunk of the base metal with it, then you know you have got it right.
The biggest thing to watch out for is paint and oil film. They will insulate the base metal from the heat. The base metal won't melt. It will look like you have a good weld pool, but it will just pull off when you put some pressure on it.
I have found that a small buzz box with low open circuit voltage with small rod, like yours, is best for sheet metal. It doesn't have a tendency to blow holes through like higher voltage welders. You don't have to whip the electrode as far to control welding current.
As for as the 6013 verses the 7000 series rods. I wouldn't worry too much about it if I was you. 7000 and higher series rods are designed for people building life critical structures like bridges and sky scrapers. Unless you plan on building something like that, then don't worry about it. Real world difference between the two is the 6013 has a 60kpsi strength and the 7000 series has a 70kpsi strength (hence the first two numbers of the rod type). That difference is critical on large sky scrapers but I doubt if you will be building something that has a failure level that is calculated so closely. And the other difference is the 7000 series is low hydrogen. Which reduces the chances of hydrogen induced fatigue cracking. Again. Something critical on a mile long bridge. But I don't think hydrogen cracking is going to be the biggest problem ailing a beginning welder. Or even an experienced welder doing day to day task at home.
And add to the fact that after an hour or so of exposure to the atmosphere, low hydrogen rods are no longer low hydrogen. They soak up water from the air. So, unless you have a rod oven to keep them at several hundred degrees after you pull them from the pack, (which few home workshops do) then buying
7000 series rods are pretty much a waste of time. 6013 rods are far more usable on an AC machine. And they don't mind the storage conditions that you normally find in the home workshop.The only thing you have working against you on welding bigger stuff is the limited size of your welder, not the type of welding rod. A welder that would run 3/32 and 1/8 would be a real help on larger stuff. Yes you can do it with 1/16 rod. I have. But it is a slow and mind numbing task.
And keep another thing in mind. Even a new pack of 7018 still sitting in the store, may have long since lost it's low hydrogen qualities. Most of the small packs have a plastic wrapper on them and they have a tendency to get holes in the plastic from rough handling. Once they get a hole, then good by low hydrogen qualities.
The only way to keep a low hydrogen rod "low hydrogen" is by only buying rods in unopened metal cans (50 pound tins). Then as soon as you open them, throw them into a rod oven. Only pull the rods out of the oven that you plan on using that hour. Any you don't, throw away..
The only real difference from a 6013 that you get when buying a 7018 from most local supply houses, for most home workshops, is a rod that is cranky to run on AC
The best thing a person can do is just use 6013 and design their projects so that fatigue cracking isn't a problem. Don't design it where the weld joints are heavily flexed.