•Solo? Duo? Trio? It's very map dependent, but let's go with the densest to give you an idea, Dread Chain, with experienced players on geared impactful specs & speed consumables: 2-3mins solo, 1-2mins duo, <1min trio.
•Most effective dubloon items are flashfire brew for havoc (#1 speedrun spec) because it simply triples eyebeam damage, and jetpacks which significantly shorten pull time, the longest part of the runs. Shady Trader's items are also good for specs with lower damage. Gunshoes, gliders, speedpots, bear tartare, radinax gems & darkmoon firewater should also be used along with flask, augment rune, war-scrolls & drums.
•They easily cut your time by ~half (depends on your regular pace), they are definetly worth using if you have buyers or value your time more than the gold they cost. Since dubloons items are BoA, you can use mailbox as storage to have all of them available every week.
•2mins solo runs are possible but on very few maps and requires great spawns & near-perfect plays, so it's not something you can garantee in your ads. He's either offering runs as a duo, or it's false advertising.
•Depends on what's your goal on a given run. If it's to achieve the 'fastest IE' then you wont necesserily hunt down all rares, it's situational & personnal preference. Someone only caring about his AP or xp for his buyers will try to finish as fast as possible, only kill rares with valuable loot tables (pirates, eles, vrykuls, etc.). Others might prefer killing every single rares even if it means significantly less runs per hour & less chance at 'better' rares. If you were also asking for general tactics / tips, there's way too much info to give for such a short post but basically, density is key, learn the best routes depending on where you spawn & what spawns, best glider spots, etc.