Given the OP is concerned to establish what costs he may recover in civil proceedings against a TOC, it occurs to me that in my previous post I ought to have mentioned the consequences of such proceedings being allocated to a particular track.
When civil proceedings are defended, the Court will allocate them to one of three case management tracks: the multi track, the fast track or the small claims track. Paragraphs 7.23 and 7.24 of the LiP's Handbook previously mentioned are helpful here in outlining the basis on which proceedings are allocated to a particular track. In the case of proceedings arising from a ticket validity dispute, there is a high probability that such proceedings will give rise to issues of contract law suitable for disposal via the small claims track, because the money sum in issue is likely to be well below the current £10,000 ceiling for small claims track cases.
It's worth noting the caveat about costs contained in para. 7.24 of the LiPs Handbook: "Only very limited orders for costs may be made in small track cases, essentially limited to fixed costs and expenses [CPR 27.14]". That is the principle usually applied to costs claims in small claims track cases, from which the courts will not normally depart save in cases in which one of the parties' conduct has been so egregious as to justify a costs penalty being imposed on that party.
In a nutshell: a civil law claim that is dealt with in the small claims track is not likely to attract a costs award of anything more than fixed costs and expenses.