Hello, the carbide brazed tools that you bought are not that bad...actually i have found them very good value for the money! they just need to be cleaned from the paint in the carbide portion a quick and dirty lapping with a diamond stone...they should get you started without a problem! do you have a QCTP? if not are you shimming the tools to get them to the correct height?
for something a little better you can try a diamond tool holder from from
Eccentric Engineering and it covers 90% of turning operations...and you sharpen it in very few seconds! The diamond tool holder and a half decent parting tool, plus a carriage lock, you should not try to make parting cuts without locking the carriage...and a rocker tool post from arc euro trade...should give you a nice setup.
Or in alternative buy a box of 1/4 inch hss toolbits and grind them...they will give you the best finish on a mini lathe...besides you can grind specialized tools...for cutting brass, for steel...etc. and are very cheap.
Indexable carbide tooling is good to have...but save your money and only buy the best you can afford...glanze it's ok for toolholder, but they are cheap indian stuff, very poor inserts...look at sandvik, kennametal, mitsubishi, Sumitomo..etc.