It's fine to use either the infinitive or the gerund when making lists of things, but good style recommends you use the same for all the elements of the list:
I like to ski, to surf, and to shoot baskets.
I like skiing, surfing, and shooting baskets.
So in your example, just make sure all the elements have the same form:
My dreams were to study abroad, (to) get a well-paid job and (to) have a nice wife.
I dreamt of studying abroad, getting a good job, and marrying a nice woman.
You can also just list them as simple nouns (the related verbs are implied):
I dreamed of study abroad, a good job, and a nice wife.
Side note: it's not logical to say that you dream of "marrying a nice wife" because, at the time you marry her, she's not your "wife". Instead you say "I want to marry a nice girl/woman (and settle down, have kids, etc.)". However, it is fine to talk about marrying your wife in the past:
"I married my wife in February."
"I had married my wife in 2010 in a civil ceremony before a judge, but our actual wedding was a year later."