You cannot appeal anything until you have a PCN addressed to you. The leasing company should submit reps that they are a hire company, and give your name and address. The council then cancel the first PCN and send out another one to you. This second PCN will have a date on it, and you will have 28 days in which to pay it or appeal, with the discount available for 14 days.
I suggest you contact the lease company to make sure they understand the process, not all do.
Video shows you passing a 'Flying Motorbike' sign which means "No Entry for Motor Vehicles" but this is obviously qualified by text below the symbol. We need to see what that says, their evidence doesn't. It is quite possible you were following permit holders with an exemption, but until we can see what is on that sign, and the actual PCN it's difficult to give considered advice.
One thing does stand out, though, and that is the excessive height of the sign. The bottom of it looks about 3 metres above ground level whis is really absurd considering that the symbol for barring motor vehicles is right at the top of it. We seem to be seeing rather too much of this, and one does think that it is a clever wheeze to make sure nobody notices the sign so they can make shedloads of money from PCN income. And no, I'm not suffering from paranoia !
Your two points are, unfortunately of no use for an appeal
