Hi simon and a warm welcome to the forum
I am sure that the cancellation of your Sky card will not affect your Sky TV, but best to check the contractual documentation of both accounts to be sure.
You will find that Lloyds will continue to deduct loan repayments from your current account, but this merely serves to reduce on balance at the expense of another - so no real effect.
With regard to the Egg account, if you are considering entering into an IVA there is little difference in both options.
Regards, Melanie Giles, Insolvency Practitioner for over 20 years.
For further details contact me at
http://www.melaniegiles.com and view my IVA blog at:
http://melaniegiles.blogs.iva.co.uk