Lisbon-->Cardoba/Barcelona/Madrid--> Malaga--> London Need Tips for traveling

I am flying in from the US for a conference in Malaga. I have about 8 days before the conference to go around Spain and neighbouring areas before I head to London.

I was checking out the train travel and I cannot seem to find a way to go from Lisbon to Spain. I really want to see Cardoba/Grenada and either Barcelona/Madrid before I head to Malaga.

What is my best option to go from Malaga to London? Is there a train journey?

Any help will be much appreciated. I have been looking for most affordable routes and I have been unsuccessful. I will be travelling with another passenger.
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