My prayers, if I use them continuously (just to protect my prayers) will wipe out my prayer completely in two minutes or less. I can flash my prayers to protect (on the day before opp atks or after), and RuneScape Gold with 2 prayer pots it is possible to be used for a long time, well beyond the time required for me to get full inv.
The downside is that, because of lag, this can fail from time the other, and i am hit. If I don't have a good def, even a few moments of lag could result in the loss of half my bankroll lol. If i decide to switch on my prayer continuously, it'd end by the time I get about 2-4 kills. (blue drags) and with the pros, id get a few extra seconds, and then i won't be able to keep the potting prayer because it's expensive as well... But ty anyways.
I'd definitely recommend taking these quests. They are good fun as well as supplying you with the Neitiznot Helmet which is likely to be one of the top helmets that you can get in game. Additionally, since you have an amount of money of 1mil, I'd suggest playing Barbarian Assault. This will allow you to buy your hands on the Fighter Torso. The cost isn't too high but it does give great Strength bonuses , and it looks decent.
For your weapon , I would definitely go for an axe and/or a Dragon Scimitar. Monkey Madness is needed for the Dragon Scimmy and it does require some time, but certainly worth it to train the strength. Whip on the other side is excellent for attacking and defence.
Dragon Defender is good (once you FINALLY get it). Also , for a superb set of gloves, I suggest doing RFD to buy Dragon/Barrows gloves. The Mithril gloves, too, are great. For them to be obtained, you'll need to RS3 Gold make a recipe for Disaster, and I strongly recommend doing that as high as you can...