Globalisation is a problem for the state collecting taxes, which is why we need to come up with a global solution to tax avoidance. We could create laws whereby companies who want access to european markets must pay a certain amount in corporation tax, for example. It is not likely that they would avoid this, given that the EU is the second largest trading market in the world.
Secondly, I think a better approach would to let the poorest keep more of their money. This can be done in numerous ways: no just by increasing the bottom rate of income tax, but by decreasing taxes which the poorest pay most such as VAT. You could also make day to day living cheaper by enabling rent controls and nationalising the railways.
The cost of living in the UK is completely out of control, and with wages stagnating for the past three decades, thanks for attacks on unions and workers rights, along with outsourcing, most people had to take on debt to survive. It is only the wealthiest who benefited from these political and economic changes. The vast majority of the new wealth for the past few decades has gone to the richest.
The Tory scum, though, are ideologically committed to immiserating the poor and vulnerable. They want to fix the economy through supply-side measures like making it easier to fire people. The problem with the economy is not supply-side, as much as the small-state ideologues would have you believe. The problem is demand-side. I.e. there is a lack of demand because nobody has any money and nobody can afford the cost of living.
If they genuinely want to help the average person and help the economy, they would institute demand-side measure to stoke demand - but they can't and they won't. They see this, instead, as an opportunity to permanently wreck the state and public services.