Most people look at systolic (top number) not diastolic (bottom number), and yours is fine. Your diastolic is a bit high though, yes. This may be normal, but a narrow range between the two can be a sign of some conditions. Your pulse is very fast. If you are worried, see your doctor.
That would be high for me, but I'm not sure strangers on the internet can advise you without the context. There were concerns about HBP in my last pregnancy and my note to self was to seek advice if it was 150+/90+.
You need to know what's normal for you and also the conditions it was taken under. E.g. If I test mine at home or if I've been sitting down for ages (eg at midwife appointment) it's usually about 108/68 but when I had it done at the dr it was 140/80.
Pulse does sound high though. Again, everyone's different; mine hovers around 60 (sadly due to genetics NOT fitness!) so I think it's high if it's over about 80 and I'm not working out. Yours might run high naturally but 113 does sound a bit high.
Why not see GP for a quick check? You can also get a monitor from boots and check in the quiet of your own home where you'll be relaxed; they aren't expensive.
I have raised blood pressure and use a home monitor. What you need to assess is your resting pressure, so first thing on getting up, before you have had any coffee or have been rushing around. Sit at a table quietly and take the best of three measurements. A GP may decide to do a 24 hour BP assessment where you wear a monitor for the full 24 hours, and it takes readings at intervals. You need to record whenever you have done any bursts of movement like running upstairs which will give a temporary high reading.
It's definitely worth taking notice of, as undiagnosed high BP can cause all sorts of long term health problems.
The rule-of-thumb normal is 120/80, but that's based on whole population, and younger people and women often have lower readings than men, older people and the heavily pregnant. It's the second number which matters most, and over 100 is definitely something I'd want to discuss with an HCP (actually, I'd make an appointment for myself if it was over 90, but I know I'm usually no more than 75)