Bojack clears the first round with insane ease. SSJ Bardock isn't even more powerful than First Form Frieza since a power level of 10,000 multiplied by 50 would be 500,000. Lord Chilling was defeated by Bardock and so he's much weaker than even SSJ Bardock. Aka was said to be as powerful as Frieza who is really no big deal. Bojack who tormented Super Vegeta, SSJ Future Trunks, and SSJ Gohan will effortlessly kill them all.
Round 2 is easy for him as well. All of the opponents (SSJs) that Bojack fought simultaneously were all more powerful than the Cold Family so he would defeat them as well with incredible ease.
This is where things become more difficult. He's facing more powerful opponents in the third round. However, he should win. Bojack fought Ascended SSJ Trunks, SSJ Gohan, Piccolo (stronger than an Android) and Super Vegeta, all of whom are stronger than his 3rd round opponents.
He would still clear round four. Semi-Perfect Cell isn't even as strong as Ascended SSJ Trunks who couldn't do anything to Bojack, and Super Vegeta has also failed against him. Also, Ascended SSJ Trunks is stronger than Super Vegeta anyway. Bojack clears the fourth round.
Here is where I believe that Bojack will lose. Piccolo at the end of DBZ is no doubt much stronger than the version of himself that fought Bojack but we don't know how much stronger he is. SSJ Gohan isn't strong enough to fight Bojack. However, Goku in his base form was the only one who managed to genuinely hurt Bojack when he briefly intervened. An SSJ Goku would cause a lot of problems. Together I believe they could barely defeat Bojack (only because I don't know how strong Piccolo was at the end).
This is where Bojack loses without a doubt. He's fighting two opponents who are equally if not slightly stronger than him. He doesn't stand a chance.
ND