Hi Rhian,
so to clarify, you have the large buttons on the LPD8 set to swtich between library, develop, etc?
And you programmed that by tapping the pads with midi2lr open and then selecting the corresponding control?
Are you on a Mac or Windows?
The issue may be that the LPD8 pads are velocity sensitive, which basically means they could send a range of values based on how hard you press. So you may have bound Midi2LR to one value, and it may be in fact sending a different value. Without playing with one myself its difficult to suggest the ideal fix... but there are a couple avenues that might be helpful.
First would be to open the Akai software for the LPD8, and see if theres an option to disable velocity sensitivity on the pads. This way your pads will only send a single value when pressed, no matter how hard or soft you hit them. I dont have that software so not sure if you have that option.
Second, and entirely separate from item one, it looks like you have the option to send Either notes (the button that says PAD), program changes, or CCs when you press your buttons. Try switching over to Program Change or CC, and then you'll have to rebind your buttons in Midi2LR, by tapping the individual pads, and selecting what you want that pad to control. Once you've done so, give it ~ ten seconds or so to "bind" the effect before testing it. I've noticed that when I rapidly bind pads or pots I can work faster than Lightroom can pick up my new controls. Once it works it'll be instantaneous though.
Hope that gets you started.