I just tried one here and the connector should come off pretty easily - you just want to pull up with a fingernail on the silver bit.
But if it's not coming off easily it's possible that there has been some corrosion in that connector and it's causing it to stick on (in which case if you can fix that, maybe it'll sort out the display).
But it's hard to know what to suggest - you could try applying some electrical contact cleaner or maybe even penetrating oil (which you could then take off after with some isopropyl alcohol)?
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I just tried one here and the connector should come off pretty easily - you just want to pull up with a fingernail on the silver bit.
But if it's not coming off easily it's possible that there has been some corrosion in that connector and it's causing it to stick on (in which case if you can fix that, maybe it'll sort out the display).
But it's hard to know what to suggest - you could try applying some electrical contact cleaner or maybe even penetrating oil (which you could then take off after with some isopropyl alcohol)?