Not at all. Socialism can be non-Marxist (because socialism more broadly entails social ownership of the economy). Social democracy does not necessarily entail that. Like most ideologies, it supports greater equity, though to a significantly greater extent than non-socialist and non-social democrat philosophies.

A (far-)right-wing party by definition is extremely unlikely to be Marxist, as Marxism focuses on class conflict, recognising the dangers of a wealthy and reactionary business elite to the labourers. And the far-right and right typically are strong allies of those.

I'm also not certain what kind of nationalism the party holds - whether it's a relatively inclusive civic form, as in early modern France or proudness of their focus on social wellbeing -- or ethnonationalistic (which is more concerning, as it has a much bigger potential to steer into outright hatred).