Immigration events are emotive, no question about it. The first step is to get centered enough to give a lucid account of what happened or nobody will be able to help.
If I understand your narrative...
You were detained and removed from port whilst seeking entry as a non-visa national. You have personal effects stored inland at a rented flat and the rental contract expires later this month. Somewhere in the mix, there's a previous T5 refusal as well; it's irrelevant at the moment, but will arise as an exacerbating factor if you apply for entry clearance. You have instructed a 'consulting team' to so something, it's not clear what it is or how effective it will be. If the Border Force removed you and you do not have a human rights claim, it's a waste of time and money.
Also, it doesn't matter whether or not you were working during your previous visits. The fact that you have career assets here is sufficient to question your intent. They don't even need assets, all they have to do is suspect something and it will stick.
The first thing that springs to my mind is if your landlord is in breach of the Immigration Act 2014 which levies a £3,000 fine for renting to someone who is not eligible to rent. More about that later.
To get your stuff you have three options...
Show up at the border and seek leave to enter just like you did
before. Maybe they will let you in or maybe they won't, but there's
nothing illegal in attempting it. Success in this strategy is down
to personal impact and articulation skills, and since these failed
you I would not recommend this approach. But it's out there to try
if you want to.
Use the Canadian High Commission in London to get assistance. It's not the
first time in the world this has happened and they will know what to
do. You can possibly use your local MP as a liaison. This is most
bureaucratic strategy of the three.
Engage a 'man with a van' in the area where you rented to come
around and collect your stuff. You can fax or email him an
authorisation if it's required. Once he has collected your stuff he
can put it in a storage company for you or ship it himself. If the
landlord is recalcitrant, you can tell him you'll be happy to
cooperate with the authorities if he is found in breach of the
Immigration Act 2014. Even if he is not in breach, he may be wary enough to cooperate anyway. To find a 'man with a van', you can use
Google for those located in your postcode. Do you trust him? I
think they are pretty reliable (my guy even has our house keys
because he has to deliver large stuff from Costco), but it's largely down to luck and how you come across in written and telephone communications. I would guess he would charge £250 for the job and then put shipping on top of that, but that's a guess only.
None of these are particularly ideal and all of them involve a certain amount of risk, but that's what happens in cases like these where the person does not have diplomatic credentials. Finally, reiterating in the most emphatic terms, make sure you can give a lucid account of what your situation is (your question here is decidedly not up to the need), or get a professional to help you.
You are adamant that you can benefit from human rights in this affair. What this means in the UK is The Human Rights Act 1998 which is Parliament's answer to Article 8 of the European Convention on Human Rights. You would pursue this in the administrative court with a judicial review.
The big show-stopper for your human rights claim as far as the Border Force goes can be briefly summarized as...
- You are not married to your sewing machines
So your claim will fail at the permissioning stage because it is misconceived (in the legal sense) and you will lose. But it gets worse. If they decide that your claim is frivolous, they have the option, but not the obligation to go after you for their side of the legal costs. I am guessing they would. Fortunately since the action stopped at the permissioning stage I would expect this not to exceed £18,000 or thereabouts, but that's a guess.
Tourists do not generally travel with two sewing machines and a portfolio of designs and take out a rental contract (and then apply for a T5 when they get caught). I can't imagine a member of the Law Society accepting your instructions for judicial review.
Having said all of that, for recovering your stuff you might have relief available to you under civil law, which is something we know nothing about. Civil law will not get you in to the UK, that side of the question is a dead issue, but there may be something actionable for you. I suggest taking the question to the good brothers and sisters at LAW SE. Tip: include the link to this question so they don't have to go through the whole rigmarole. Ask them if you can seek relief through civil law (as opposed to immigration law).