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The boost (for using 5 logs on a bonfire) seems to be a bit off, on the site. I've checked it myself, I got 4.8% @ 95 firemaking. Table says close to 10. I've checked on other sites, it's lower than the tip.it one.
You haven't mentioned that you can do the cases from the first batch(Mugger vs Roger, River Troll vs the people, drunken dwarf vs., evil twin vs good twin, rick turpentine vs the rich people) without waiting for 2 weeks.
I've done this all day today and only have a batch 1 court summon left to get.
If you do a batch 1 then want to do a batch 2 you'll have to wait the whole 2 weeks, but not for another batch 1.