Brazilian jiu jitsu -- or BJJ -- and wrestling are combat sports. Both are styles of grappling. Beyond that, the differences between the two are more numerous than the similarities. Neither is necessarily better or worse than the other, but the particulars of one or the other might be a better match for your interests and preferences.
How long does DNA testing take depends on the place where the test takes place. Some may even give the results in 3 working days while others may take duration of 10 days. Before a DNA testing is done, there are many clauses put forth; the most important one being the agreement of all to get the test done.
How long it can take for paternity DNA results to come back depends  on the method of testing chosen and how soon after release you can  collect the results.