Shipping method button at the wrong place

The radio button is centered based on the whole title+description of the shipping method.
That's why it's like that by default.
You can add that CSS to have the radio buttons at the top of the table cell, in front of the title:
#hikashop_checkout_page .hikashop_shipping_methods td {
vertical-align: top !important;
}

The shipping methods can be restricted to a zone. They can be restricted to a currency.
And the user on the front end can select the currency in which he wants to buy. If he buys in EUR, that the shipping method is not restricted for that currency and that the price entered in the shipping method is in another currency, it will indeed be converted. But that's normal as orders can only be in one currency.
If you want to force yourself the shipping price in each currency, just create two shipping methods, one for each currency and set the shipping price in that same currency.