The Jags have yet to win a Premiership fixture at home this term and host Hibernian on Monday night.
They will be aiming to claim all three points for the first time following stalemates with Dundee United, Hearts and Kilmarnock and a 3-0 defeat to Aberdeen.
The Hibs clash is the second match in a crucial series of games that will see Alan Archibald's side take on Inverness Caley Thistle and Celtic on successive weekends following their draw at St Johnstone.
Doolan said: "It is a run of tricky games for us but that is part and parcel of being in the Premiership.
"You are always going to get runs of games like that and they are times that everyone looks forward to.
"St Johnstone are an established Premiership team, a good team, and we got a good point.
"We are looking forward to the Hibs game now and hopefully we can turn in another good performance.
"I don't think there is a reason for the home and away form. If we keep playing the way we are, the results will come at Firhill. We have no worries.
"We could have won games at Firhill but we haven't got beaten. Teams aren't coming here and running over the top of us.
"You don't want to be getting turned over at home and I am confident we will start picking up wins.
"There are times when we think that we could have picked up a couple of points here or there.
"But I think, all in all, if you look at the start to the season we have had we have got to be pleased. If you had offered it to us a few weeks ago we would have bitten your hand off."
Doolan was the Jags goal hero at McDiarmid Park before Archibald's side were denied the win by Steven MacLean.
And the striker is keen to add to his tally of two goals so far.
He said: "It was good to get another goal last weekend.
"It was a tight angle but thankfully I managed to put it away.
"It was unfortunate for them that Steven Anderson slipped and hurt his thumb.
"I just did my job and put it away. I was delighted to get another goal. I am confident there will be plenty more to come."