Conversation so far:
What year did Tape Deck come out?
On 19 February 2013, it was announced that Turner had signed a licensing deal with Interscope Records in the US for Tape Deck Heart.
Where did he record the album at?
CANNOTANSWER.
Did he ever go on tour after releasing the album?
Following the release of the album Frank Turner embarked on a short UK tour.
Were there any singles from tape deck heart?
On the same day Frank announced on Twitter that the single was the song "Recovery".

Question: What came after Tape Deck Heart?
Self-contained rewrite: What came after Tape Deck Heart album by Frank Turner?