Oh Scoot my lovely, lovely lady. I think from the sounds of it and from a very distant perspective, neither L nor you are battling a viral infection. I think it might be bacterial. Nothing to worry about too much, just the difference between something the immune system can fight on its own and something that requires a bit of help in the form of antibiotics. I'm with TMAM, only give antibiotics if it absolutely will not go and believe that you treat the child not the fever. So if they have a temp, it's just the body fighting illness and not a cause for concern but if they are complaining and suffering, you treat the pain. L is suffering obviously and needs pain relief. Medised might be good for her if the snotty nose is getting to her. It will dry her out. Are you putting a decongestant in her room at night and raising the end of her bed? Steam too perhaps?
M had a viral infection that Would Not Go. Her temp was 40 and we couldn't bring it down. She was admitted to hospital and two things happened. She was give much more paracetamol than I ever give because she was weighed first. The tiny dose I gave wasn't touching it. 20 minutes later her temp was 38. She also needed steroids as she just wasn't battling it.
I think the problem for children prone to febrile convulsions is the rise in temperature not the temperature itself iyswim. So it's not the 39 degree temp, it's the rapid rise to this after the meds wear off. It shocks the system. This is another argument for resisting too much medicine to control a fever as it causes so many peaks and troughs as the medicines kick in and wear off continually. Of course you must give her medicine as she is suffering and her temp has been too high for too long but I would be pushing the GP as hard as I can for a bit more than 'it's a virus'.
And as for you, firstly you complain all you like. Secondly, you tell the GP you have a tight chest and have fainted. And then you do fa for the rest of the week. You absolutely must find a way to slow down. Your immune system is struggling to cope. All 4 of you are ill more often than is fair for one family. This is your body telling you to stop.
I'm so sorry you're going through this.
It will pass. Promise.