The problem with high current plug in connectors is that the contact surfaces deteriorate with use - due to tarnish caused by heating. Each use creates heat, which promotes oxidation of the terminals. These then have a slightly higher resistance next time they're used, which creates more heat.... you get the idea.
Ultimately, plug in leads are consumables. You can prolonge the inevitable by cleaning the element prongs with a commercial contact cleaner after use (and once cool) but ultimately the plug will melt and need replacing. Also make sure that you're using the lead with the correct C15/16 Rating or the lifespan will be significantly shorter. Your 10A rating is for the plug itself (the cable should be a 1.5mm core size which is good for 18A) and should be ok for a 2.4kW element but no higher.
If you want something long life and maintenance free, hard wire the pins and make the conncetion with a neutrik-type connection.
Can always cut the melted socket off and put this on :
http://www.ebay.co.uk/itm/PLUG-REWIRABLE-IEC-SOCKET-C15-HOT-XBOX-360-PC-LCD-TV-KETTLE-LEAD-POWER-CONNECTOR/361614122164?hash=item5431e19cb4:g:B6EAAOSwpLNYATWAIts cheaper than a proper new c15 lead...
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