Did the quote include batteries? That's more than I paid for very good quality solar 6 years ago. The Prices have fallen a lot. I would not trust that one at all unless they had 10kw or more of batteries in the price. That said If the tall trees shade that much I think putting most panels on the west side might work more cheaply? power capacity is higher during the afternoon If they quote you got numbers are roughly correct spending more than $5000 would not be suggested.
If you want the north facing shade affected issues they mention can be managed by MTTPs or mitigated. The issue with shading "a shadow does not necessarily need to fall on an entire panel – depending on the technology used in the solar panel in question, shading of even just one cell could flatten the output of the panel and in turn the entire string. Many modern panels, however, come equipped with devices called bypass diodes which minimise the effects of partial shading by essentially enabling electricity to ‘flow around’ the shaded cell or cells.Strategies and technologies for dealing with shaded solar panels
Although the performance and therefore the return on investment (ROI) from a solar power system can be severely affected by shading – especially shading that occurs regularly due to an object that casts a shadow at the same time every day as the sun passes through the sky – there are a number of ways to avoid or mitigate these effects. Use a string inverter that has MPP Tracking capability
Maximum Power Point Tracking (MPP Tracking or MPPT) is a technology that now comes standard in most quality inverters. An inverter equipped with an MPP Tracker (or several of them) is able squeeze the most usable energy possible out of a string of solar panels (even when shaded) by adjusting the voltage to always suit the inverter’s preferred input range. In a nutshell, an MPP Tracker helps to minimise output losses associated with partial shading and other panel output mismatches. Inverters without MPPT capability simply lose the output from the weaker string once it passes below the required output threshold."
Victron is one of the best brands period in my view. A MPPT 100/15 Using MTTPs like this is only about $150 a few can be used with almost any panels.
Do you know middy's Electical? https://mybranch.middys.com.au/products/391939FRONIUS INVERTER SB 5KW 2X MPPT -2019
and some of these https://mybranch.middys.com.au/product/397837
JINKO SOLAR AUSTRALIA CHEETAH HC 72M 400W MONO PERC , CHEETAH HC 72M 400W MONO PERC SOLAR PANEL
A quote for them from Middy's and installation from the Gents I suggested or Quotes via https://www.serviceseeking.com.au/electricians#
Most sparkies can install and commission for you[bigwhistle]. Some SOLAR companies are sale only who use Sparkies to do the work as that is required to connect to the Grid. Fronius are top rated inverters. I have one at work.

