Sick with worry- baby's finger

[RiceRiceBaby16]

My 9 month old DS has some kind of finger infection, it is about day 10 from initial redness. I am so sick with worry that I can't eat or sleep. The first days it was just redness with a little swelling, we soaked in salt water several times thinking it's just something minor. Day 7 it got much, much worse suddenly. Called 111 who advised to go to A&E, it was Saturday night couldn't see GP until Monday. We went into A&E Sunday morning. After a 3 hour wait that seemed to last a lifetime, seen by a doctor. He just said it's an infection, no diagnosis other than that. Given amoxicillin. Nurse drained two pus pockets- he's never writhed and screamed in pain like that, left me traumatised. She applied magnesium Sulphate and bandaged it up. 27hrs later which was yesterday evening he pulled off the bandage. Of course it was only just day one of antibiotics so I didn't expect it to get better yet. But it looks awful and I just can't function with such a bad feeling in my gut. I feel so awfully stupid and guilty
For not seeking help when it was just a little red and swollen.
My searches have me thinking it's either herpetic whitlow, panaritium, or paronychia. I don't think it's the latter two anymore because on Sunday two more little blisters formed on the same finger, but a centimetre or so away from the main swelling. And a blister on his tongue. Coincidentally I had a cold sore on my lip which he scratched, Around the time that the redness on his finger began. I didn't initially add the two together until now. But doctor dismissed this and just said whatever caused it doesn't matter now, he just needs antibiotics.
But the cause should be important as wouldn't that affect the type of treatment?
The strangest thing in all of this, he doesn't seem to be in much pain.
Touch stuff with that finger, banging toys, but of course not too keen on the finger being touched.
Will make GP appointment to get another opinion but in the meantime has anyone else seen or experienced anything similar? I have the worst case scenarios in my head and feel like such a bad parent. Thinking to maybe make an appointment with a private paediatrician too. Maybe blood tests could give us some indication of the type of infection or problem?

I'm all over the place so hoping I didn't miss any important details here

PS the photo is today, so I think day 10 from initial redness. I have photos of the earlier stages too if at all relevant.

How are you doing, @RiceRiceBaby16? did you manage to get antibiotics into him?

Hi all! We are doing pretty well. Finger still not looking very pleasant as all the skin has started peeling, raw fresh skin underneath. But the swelling has gone down and pus is gone. Managing with the antibiotics by just giving them straight, he cried the first 2-3 times for a while after. Now he starts to whimper and panic when he sees it coming, but once it's done he doesn't cry and gets over it pretty quickly. So that's good. Doctor said to just keep going with antibiotics and watch for an improvement, and the finger has indeed improved, last day of medication tomorrow. We are then due on Tuesday at the wound clinic so they can check how it's looking, too. All in all feeling much, much better. We have been having baths daily too and that has helped drain the pus too.

Once this is healed and done, the next step is to tackle this anxiety

Also, just to say. This method has been working great, I don't even have to hold his nose or his chin shut, blowing a little is enough to get him to swallow. So thank you again, so much. I'd never had thought
Of this

Ow, that looks sore. Glad he's on the mend. The other little white blisters could be hand foot and mouth? Have they gone a bit greyish now? Might have picked it up in addition to the sore finger, hfm is passed around so easily when they are little.

The other blisters just went dark red and now are scabbing over, so I don't think HFM, luckily!