Looking back to your original question, you ask how likely it is that your licence will be accepted by other countries.
In theory, because your current training is as a minimum 'CCC-compliant', the licence that is issued should be recognised by all other EU States. By the end of the year there will be an Implementing Rule detailing how EASA will manage the issue (and so on) of ATCO licenses - initially it will probably be broadly similar to the European Directive on which each State's current rules are based. As the Directive appeared to be designed to achieve a common European licence, you can probably expect the IR to make this explicit - in which case, a Swedish licence should probably be accepted in the UK (and any other EU State) without further question. The only sticking point might be language endorsements.
In practice, however, things may not be quite so simple, especially where the State also employs ATCOs. The employer may put additional requirements in place to be satisfied by potential employees.
If you go outside the EU, each State will have its own requirements - almost always based around ICAO SARPs. Some States will be happy to accept a European licence as meeting the requirements to work there or for the grant of a national licence; others will want you to do 'conversion' training, or maybe even go through the local straining from scratch.
In reality, getting the licence is only the first step. Doing the job is another thing altogether. You will be far more marketable with some practical experience under your belt (and not just OJT time).