It is entirely possible to love your Self and also improve any weakness you have. Keep in mind that the process of self-improvement must be done with love of Self - don’t punish yourself for your weaknesses or failures. Instead, be forgiving of your Self as you work to improve.
Of course, it’s Bluelady’s opinion that we should spend time “correcting” only the faults that have proven severely detrimental. We want to celebrate what makes us great, not obsess over what makes us human!