Thinking of asking for a pay rise - advice please!

I have worked in my current job full time since February, however I first started work there last August as a relief chef. I did most weekends and the odd weekday. Pretty much full time during Christmas and new year though.

So anyway, since February I have started full time. 5/7 days, about 11 hours a day. I am paid hourly.

Throughout the past 6~ months I have been given more responsibilities including handling kitchen ordering, entire section solo & other jobs as necessary which would not be part of my usual duties.

The reason I am thinking of asking for a raise is mainly due to the additional responsibilities involved with ordering and I’m pretty much the only one who does the extra tasks as I mentioned.

Some of these involve driving around town which uses my fuel. Along with that the minimum wage increase is higher than my current pay, which itself is higher than min.

For that reason I think I have a fair case to argue. I do a lot of work each day, some outside my expected usual work, some of these are at cost to me (petrol mainly). I had planned to ask regardless but with the min wage increasing I worry it comes across as a bad time!

I feel like considering the extra workload and etc I am not being outrageous but I’ve never sought a pay rise before favouring to just find a higher paying job in another place, but I’m quite fond of where I work and would rather stay tbh.