Yes, there will be free parking provided by Crystal Bridges.
Yes, the dress code would be considered "cocktail." To an event with this dress code, men typically wear a suit and tie while women wear a cocktail dress.
If your invitation says "and guest," then yes. Otherwise, the invitation is exclusive to you.
Daily high temperatures increase by 7°F, from 80°F to 87°F, rarely falling below 73°F or exceeding 93°F. Daily low temperatures increase by 6°F, from 62°F to 68°F, rarely falling below 52°F or exceeding 74°F. Being early summer, there is always the potential for rain.
If your invitation says "and family," then yes. Otherwise, please leave the kiddos at home.